Uniqueness and localization analysis of elastic-plastic saturated porous media

H. W. Zhang, B. A. Schrefler

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


Conditions for localization of deformation into a planar (shear) band in the incremental response of elastic-plastic saturated porous media are derived in the case of small strains and rotations. The critical modulus for localization of both undrained and drained conditions are given in terms of the discontinuous bifurcation analysis of the problem. Loss of uniqueness of the response of coupled problems is investigated by means of positiveness of the second-order work density. From the discussion of drained conditions, it is shown that there are two critical hardening moduli, i.e. lower and upper hardening moduli which, respectively, correspond to single phase material (large permeability) and to undrained conditions (small permeability). In analogy to one-dimensional results, it is shown that there exists a domain of permeability values where we have loss of stability, but the waves can still propagate. In this domain finite element results do not show pathological mesh dependence, and permeability will play the role of an internal length parameter in dynamic models. The length scale prediction is thus given for multi-dimensional problems.

Original languageEnglish (US)
Pages (from-to)29-48
Number of pages20
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number1
StatePublished - Jan 2001


  • Saturated porous medium
  • Strain localization
  • Uniqueness analysis

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Materials Science(all)
  • Mechanics of Materials
  • Computational Mechanics


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